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A flow approach to the generalized KPZ equation
Ajay Chandra, Léonard Ferdinand · 2024-02-05 · via math.PR updates on arXiv.org

We show that the flow approach of Duch [Duc21] can be adapted to prove local well-posedness for the generalized Kardar-Parisi-Zhang equation. The key step is to extend the flow approach so that it can accommodate semi-linear equations involving smooth, non-polynomial, functions of the solution - this is accomplished by introducing coordinates for the flow built out of elementary differentials.

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